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12233213111131 = 174140934288111
BaseRepresentation
bin1011001000000100010001…
…0100100110101101011011
31121022111001122200122111221
42302001010110212231123
53100412110024024011
642003505512232511
72401551265523215
oct262010424465533
947274048618457
1012233213111131
113997092977a81
121456a6639b737
136a978298332c
1430413ab475b5
1516333210b971
hexb2044526b5b

12233213111131 has 16 divisors (see below), whose sum is σ = 13271981079168. Its totient is φ = 11230045516800.

The previous prime is 12233213111129. The next prime is 12233213111173. The reversal of 12233213111131 is 13111131233221.

It is a cyclic number.

It is not a de Polignac number, because 12233213111131 - 21 = 12233213111129 is a prime.

It is a super-2 number, since 2×122332131111312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12233213111096 and 12233213111105.

It is not an unprimeable number, because it can be changed into a prime (12233213181131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708766 + ... + 4996876.

It is an arithmetic number, because the mean of its divisors is an integer number (829498817448).

Almost surely, 212233213111131 is an apocalyptic number.

12233213111131 is a deficient number, since it is larger than the sum of its proper divisors (1038767968037).

12233213111131 is a wasteful number, since it uses less digits than its factorization.

12233213111131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292262.

The product of its digits is 648, while the sum is 25.

Adding to 12233213111131 its reverse (13111131233221), we get a palindrome (25344344344352).

The spelling of 12233213111131 in words is "twelve trillion, two hundred thirty-three billion, two hundred thirteen million, one hundred eleven thousand, one hundred thirty-one".

Divisors: 1 17 41 697 4093 69581 167813 2852821 4288111 72897887 175812551 2988813367 17551238323 298371051491 719600771243 12233213111131